The generator matrix

 1  0  1  1  1  1  1  0  1  0  1  1  X  1  1  1 2X  1  1  1  1  1  1  1  1  1  0  1  1  1  1  X  1  X  1  1  1  1  1  0  1  X  0  0  0  X  X  1  1  1  1  1  1 2X  X  X  1  1  1  1  1  1  1  1  1  1  1  1  1 2X  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1  2  0 2X+1  2  1 X+2  1  0 2X+1  1  0  2 X+2  1  X 2X+1  X 2X+1 2X+1 X+1  0  2 2X+1  1 2X X+2 X+1  X  1  2  1 2X+2  2  0 X+1 X+2  1  X  1  1  1  1  1  1  1 X+1 2X  0  1 2X+1  1  1  1 2X+2 2X 2X+2 X+1 2X  0 2X  2  X  1  2 X+1 X+1  1  1 2X+1 2X+1 X+1 2X+1 X+2 X+1 2X+1 2X+2 X+1 X+1 X+1  X
 0  0 2X  0  0 2X  0  X  0 2X  0  X  0 2X 2X  X  X 2X  X  0  X  0  X  X  X 2X  0 2X  0  0  X 2X  0  0  X 2X  X  X  0  X 2X  X  X  0 2X  0  X 2X  0  0 2X 2X 2X 2X  X 2X  0  0 2X  0 2X  X  X  X  X  X  X 2X 2X 2X  X  0  0  X  0 2X  X  X  X  0  0  X  X
 0  0  0  X  0  0  0  0 2X  X  X  X 2X 2X  0  X 2X 2X  X  X  0  0 2X  0 2X 2X  X  0  X  X 2X  X  0 2X  X 2X  X 2X 2X  0  0  0  X  X  0  X 2X 2X  0  0  X  0  X 2X 2X  0  0 2X  0  X  0  0 2X 2X  X 2X  0 2X  X 2X  0 2X  0  X  X 2X  X 2X  0 2X 2X  X  X
 0  0  0  0  X 2X 2X  X  X  0 2X 2X 2X  X  X  X  0 2X  0  X  0 2X 2X 2X  0  0 2X  0 2X  X  0  X  X  X 2X  0  0  X 2X  0  X 2X 2X  0  X  X  X  X  X 2X  0  X 2X  0 2X 2X  0  0 2X  0 2X  X 2X  X  X 2X 2X 2X  X 2X  X  0  0  X 2X  X  0  X  0 2X  X 2X 2X

generates a code of length 83 over Z3[X]/(X^2) who´s minimum homogenous weight is 158.

Homogenous weight enumerator: w(x)=1x^0+234x^158+142x^159+300x^161+164x^162+264x^164+132x^165+198x^167+98x^168+180x^170+78x^171+78x^173+56x^174+90x^176+28x^177+96x^179+14x^180+18x^182+4x^183+2x^186+6x^192+2x^198+2x^207

The gray image is a linear code over GF(3) with n=249, k=7 and d=158.
This code was found by Heurico 1.16 in 51.2 seconds.